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A002684 Denominators of coefficients for repeated integration.
(Formerly M4307 N1802)
1
6, 360, 10080, 259200, 239500800, 145297152000, 15692092416000, 16005934264320000, 8515157028618240000, 3372002183332823040000, 4653363012999295795200000, 8469120683658718347264000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
H. E. Salzer, Coefficients for repeated integration with central differences, Journal of Mathematics and Physics, 28 (1949), 54-61.
FORMULA
a(n) is the denominator of -(n/2)M(n)-(2n+2)M(n+1), where M(n)=(2/(2n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1). - Emeric Deutsch, Jan 25 2005
MAPLE
M:=n->(2/(2*n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1):B:=n->-(n/2)*M(n)-(2*n+2)*M(n+1): seq(denom(B(n)), n=0..13); # Emeric Deutsch, Jan 25 2005
CROSSREFS
Sequence in context: A233463 A290782 A367519 * A036281 A202367 A262179
KEYWORD
nonn,frac
AUTHOR
EXTENSIONS
More terms from Emeric Deutsch, Jan 25 2005
STATUS
approved

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Last modified March 28 04:05 EDT 2024. Contains 371235 sequences. (Running on oeis4.)